the image of the point ( 2 , 4 ) (2,4) under a translation is ( 1 , 1 ) (1,1). find the coordinates of the image of the point ( − 3 , 0 ) (−3,0) under the same translation.

Answer:

\(\frac{8}{x-6}\)

Step-by-step explanation:

8 ÷ x-6

Answer:

the blue one <3

Step-by-step explanation:

the black one has slope of 1

the blue one has slope of 4/2 which is also 2

Answer:

48a^7 b^5 (I hope I got this right, it has been awhile since I've done equations like these)

Step-by-step explanation:

(-4a^3 b^2)^2 × (3a^2 b)

16a^5 b^4 × 3a^2 b

48a^7 b^5

In constructing 98% confidence intervals for means, it is true that the statistic is good enough, and is less uncertain.

A confidence interval expresses the degree of uncertainty surrounding a given statistic. A margin of error is frequently used with confidence intervals. It reveals the degree to which you may be certain that the findings of a poll or survey correspond to what you would anticipate discovering if it were possible to poll the complete population. Levels of confidence are inextricably linked to confidence intervals.

Your level of confidence in your findings is shown by the confidence interval. You can never be certain that your results will hold for future surveys or experiments. In statistics, being 95% or 98.5% certain is typically seen as "good enough."

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Step-by-step explanation:

29 + 33 = 62

6 + 7 > 12

number one is 33

number two is d = 7

Answer: c=33 and d=7

Step-by-step explanation:

Answer:

I would it would be the one on the left

Step-by-step explanation:

If it did not would then add me and we can talk about it and I will explain to you why it is right.

The cost of the shirt, in dollars, after the 30% discount is $17.50.

What is discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.

If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:

30% of $25 = 0.30 x $25 = $7.50

The discount amount is $7.50, so the new price of the shirt after the discount is:

$25 - $7.50 = $17.50

Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.

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Answer:

Step-by-step explanation:

Take 2 points:

Find the slope:

Find the y- intercept:

The line is:

With respect to the average cost curves, the marginal cost curve: intersects both average total cost and average variable cost at their minimum points that is option B.

The fixed cost per unit of production is the average fixed cost (AFC). AFC will reduce consistently as output grows since total fixed costs stay constant. The variable cost per unit of production is known as the average variable cost (AVC). AVC generally declines until it reaches a minimum and then increases due to the growing and then lowering marginal returns to the variable input. The average total cost curve's (ATC) behaviour is determined by the behaviour of the AFC and AVC.

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Complete question:

With respect to the average cost curves, the marginal cost curve:

A) Intersects average total cost, average fixed cost, and average variable cost at their minimum point

B) Intersects both average total cost and average variable cost at their minimum points

C) Intersects average total cost where it is increasing and average variable cost where it is decreasing

D) Intersects only average total cost at its minimum point

Answer:

16\(\pi\)

Step-by-step explanation:

Area = \(\frac{\pi r^{2} }{4}\)  It is only 1/4 of a circle so we have to divide by 4

a = \(\frac{8^{2}\pi }{4}\)

a = 16\(\pi\)

Answer:

its the 2nd one

Step-by-step explanation:

The answer is 240.4cm^2

Or the second one

The range of the data set is 16 inches.

The range of a data set represents the difference between the highest and lowest values in the set. In this case, the data set consists of the following heights (in inches):

59, 62, 62, 62, 64, 66, 67, 67, 67, 71, 72, 75

To find the range, we need to determine the minimum and maximum values in the set. By sorting the data set in ascending order, we can identify the minimum and maximum values more easily:

59, 62, 62, 62, 64, 66, 67, 67, 67, 71, 72, 75

The smallest value in the set is 59, which is the minimum value, and the largest value is 75, which is the maximum value.

To calculate the range, we subtract the minimum value from the maximum value:

Range = Maximum value - Minimum value

Range = 75 - 59

Range = 16 inches

Therefore, the range of the given data set is 16 inches. This means that the difference between the tallest and shortest student in the class is 16 inches.

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a) The sample proportion of students who took the tram is 0.52 (52%). b) The 90% confidence interval for the population proportion of tram users is 47.9% to 56.1%. We are 90% confident that the true proportion falls within this range.


a) To determine the sample proportion of students who took the tram, we divide the number of students who stated they took the tram (208) by the total number of students in the sample (400):
Sample proportion = Number of students who took the tram / Total number of students
Sample proportion = 208 / 400 = 0.52
Therefore, the sample proportion of students who took the tram is 0.52, or 52%.

b) To construct a 90% confidence interval for the population proportion, we can use the formula:
Confidence interval = Sample proportion ± Margin of error
The margin of error is determined by the level of confidence and the standard error, which is calculated using the sample proportion.
The standard error can be found using the formula:
Standard error = sqrt((Sample proportion * (1 – Sample proportion)) / Sample size)
For a 90% confidence interval, the level of confidence is 90%, which corresponds to a z-value of 1.645 (assuming a large sample size).
Using the provided information, we can calculate the standard error:
Standard error = sqrt((0.52 * (1 – 0.52)) / 400) = 0.025
Now we can calculate the margin of error:
Margin of error = z-value * Standard error
Margin of error = 1.645 * 0.025 = 0.041
Finally, we can construct the confidence interval:
Confidence interval = Sample proportion ± Margin of error
Confidence interval = 0.52 ± 0.041
Confidence interval = (0.479, 0.561)
Practical interpretation: The 90% confidence interval for the population proportion of students who take the tram to university is from 47.9% to 56.1%. This means that if we were to conduct multiple surveys and construct 90% confidence intervals using the same methodology, approximately 90% of those intervals would contain the true proportion of students who take the tram. In the context of this question, it implies that we are 90% confident that the true proportion of students who take the tram falls within this range.

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It will take Joe 5 hours to reach Chicago.

To calculate the time it will take for Joe to reach Chicago, we can use the formula:

Time = Distance / Rate

Given that Joe drives 325 miles at a constant rate of 65 mph, we can plug these values into the formula:

Time = 325 miles / 65 mph = 5 hours

The correct answer is:

C) 5 hrs.

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The team with the home-court advantage would win a 1 game playoff with probability (p), the home-court team is less likely to win a three-game series than a 1 game playoff.

For the team with the homecourt advantage, let \(Wi\) and \(Li\) denote whether the game '\(i\)' was a win or a loss. Because games 1 and 3 are home games and game 2 is an away game.

The probability that the team with the home-court advantage wins is

P [H] = P [\(W1W2\)] + P [\(W1L2W3\)] + P [\(L1W2W3\)]

        = \(p(1-p)\) + \(p3\) + \(p(1-p){2}\)

Note that P[H] ≤ pfor 1/2≤p≤1.

Since the team with the home-court advantage would win a 1 game playoff with probability (p), the home-court team is less likely to win a three-game series than a 1 game playoff.

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For the team with the homecourt advantage, let  and  denote whether the game '' was a win or a loss. Because games 1 and 3 are home games and game 2 is an away game.

The probability that the team with the home-court advantage wins is

P[H] ≤ pfor 1/2≤p≤1.

Since the team with the home-court advantage would win a 1 game playoff with probability (p), the home-court team is less likely to win a three-game series than a 1 game playoff.

Using the Binomial probability distribution,

The probability that exactly two customers in the sample will default on their payments is 0.31..

We have given that,

4% of total customers a mortgage company default on their payments .

The probability of success i.e number of customers default on their payments (p) = 4%

= 0.04

The probability of failure (q) = 1-p = 1-0.04 = 0.06

Total number of customers in sample (n) = 20

we have to find out the probability that exactly two customers in the sample will default on their payments.

Using the Binomial probability distribution,

P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

the required probability is P(X= 2 )

Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸

=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31

Hence, the required probability is 0.31

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Answer:

zero

Step-by-step explanation:

if their are no students then how will the likes are given ...

Answer:

if their are no students then how will the likes are given ...

Step-by-step explanation:

Answer:

35.6 is your answer

Step-by-step explanation:

44,5/1.25 = 35.6

There are multiple possible solutions for x, two examples are x = 0° and x = 360°.

We need to solve the equation:

sin(2x) = sin(x)

Then we need to find a value x such that the sine of 2x is equal to the sine of x.

Now, because of the periodicity of the sine equation, there are a lot of possible values of x.

One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:

sin(2*0) = sin(0)

sin(0) = sin(0).

Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:

sin(2*360°) = sin(360°)

sin(720°) = sin(360°) = 0

Then x = 360° is another solution.

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1. Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $31.104.

2. The amount of energy used in the house for the month is 731.634 KWh.

3. The length of the board equals the sum of each length of the pieces. The length of the board to buy is 8.70 feet.

1. The rate of consumption of energy is measured in kilowatt-hour.

In the given question,

12 cent is paid per kilowatt-hour.

60 watts of light for 1 hour = 0.06 KWh

3 light bulbs of 60 Watts each for 1 hour = 3 x  0.06

                                           = 0.18 KWh

But,

30 days = 30 x 24 hours

                        = 1440 hours

The total energy consumed for the month = 1440 x 0.18

                                      =  259.20 KWh

The total cost for the month = 0.12 x 259.20

                                               = $31.104

Thus, the total cost for the month is $31.104.

2. Charge per kilowatt-hour = $0.11

Total power bill = $80.48

So that,

Total cost on bill = amount charge per kilowatt x total energy consumed in KWh

Which implies;

$80.48 = $0.11 x total energy consumed in KWh

total energy consumed = \(\frac{80.48}{0.11}\)

                               = 731.634 KWh

Therefore, the amount of energy used in the house for the month is 731.634 KWh.

3. Each length of the two end pieces = 2.6 feet each

Given that the remaining piece needs to be 0.86 times longer than each of the first two. Then;

the length of the remaining piece = 2.6 + 0.86

                                                         = 3.46

The length of the remaining piece = 3.46 feet

The length of the board to buy = 2.6 + 2.6 + 3.46

                                                   = 8.66

Thus, the length of the board to buy is 8.70 feet.

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Answer:

Step-by-step explanation:

Its c

Answer:

answer is 21 : 4

hope it helps ......

Answer:

k = 5.25

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of proportionality

To find k use the condition y = 84 and x = 16 , then

84 = 16k ( divide both sides by 16 )

5.25 = k

Answer:

(3, 1)

Step-by-step explanation:

Given the following constraints:

2x + 4y ≤ 10

x + 9y ≤ 12

x ≥ 0

y ≥ 0

We have to first graph the above constraints and secondly, we find the  boundary points for the feasible region. This is done by plotting the graphs of 2x + 4y ≤ 10  and x + 9y ≤ 12.

 From the graph, the following points satisfy the constraints:

(0,0) , (3,1) , (0,4/3) , (5,0)

Given that:

P = x + 6y

For (0, 0): P = x + 6y = 0 + 6(0) = 0

For (3, 1): P = x + 6y = 3 + 6(1) = 9

For (0, 4/3) P = x + 6y = 0 + 6(4/3) = 8

For (5, 0) P = x + 6y = 5 + 6(0) = 5

Answer:

9

Step-by-step explanation:

Acellus algebra 2

To determine the number of ways that the letters of a word can be arranged in a row if two letters must remain next to each other, we can treat these two letters as a single unit. Therefore, the problem reduces to finding the number of ways to arrange this new "unit" and the remaining letters.

So, to answer the question directly, the number of ways that the letters of a word can be arranged in a row if two letters must remain next to each other is (n-1) x 2!
To solve this problem, we will treat the two letters that must remain next to each other as a single unit, and then find the total number of arrangements. Here's the step-by-step explanation:

1. Combine the two letters that must remain next to each other into a single unit. This will temporarily reduce the total number of items to arrange by one.

2. Count the total number of items (including the combined unit) that you need to arrange.

3. Calculate the factorial of the total number of items. This will give you a number of ways to arrange these items in a row.

4. Finally, since the two letters inside the combined unit can be arranged in two ways (either the first letter comes first or the second letter comes first), multiply the result from step 3 by 2.

By following these steps, you will get the total number of ways the letters of a word can be arranged in a row with the constraint that the two specified letters must remain next to each other.

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Answer:

$271.66

Step-by-step explanation:

Answer:it is 180

Step-by-step explanation:

Answer:

The last one, \(\frac{2}{5}\)

Step-by-step explanation:

This can be written as a ratio, 2:5.

Ratios can be rewritten as fractions.

\(\frac{2}{5}\)

Answer:

\(Tan A = \frac{7}{5} \\\)

Consider right angle triangle ABC,∠B= 90°.

\(tan = \frac{Opposite}{Adjacent} \\\\We \ get \ opposite = 7 \ and \ adjacent = 5\\hypotenuse^{2}= opposite^{2}+adjacent^{2}\\\\\)

                  \(= 49+25 = 74\\hypotenuse^{2} = 74\\hypotenuse = \sqrt{74} \\\\Sin A = \frac{Opposite}{hypotenuse} = \frac{7}{\sqrt{74} }\)

                  \(cosec A = \frac{1}{sinA} = \frac{1}{\frac{7}{\sqrt{74} } } = \frac{\sqrt{74} }{7}\)

The perimeter of the triangle will be 8.064.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The vertices of the triangle are,

A = (2, 1)

B = (5, 1)

C = (4, 3)

Now,

We find the distance between the vertices of the triangle which is equal to the length of the side.

So, Distance between the points A (2, 1) and B (5, 1) is calculated as;

Length of AB = √(5 - 2)² + (1 - 1)²

                     = √3²

                     = 3

Length of BC = √(4 - 5)² + (3 - 1)²

                    = √1 + 4

                    = √5

                    = 2.236

The length of CA = √(2 - 4)² + (1 - 3)²

                          = √4 + 4

                          = √8

                          = 2.828

Thus, Perimeter of triangle = Length of AB + Length of BC + Length of CA

Substitute all the value we get;

Perimeter of triangle = 3 + 2.236 + 2.828

                                = 8.064

Therefore, The perimeter of the triangle will be 8.064.

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